Big Idea Negative numbers help us to model many real world situations. Investigation 3: Subtracting IntegersEssential Question #3: How do I find the difference between integers?
A.
1. Complete the addition sentence -17+13=?.
-17+13=-4 2. Write a subtraction sentence that "undoes" the addition sentence you found in part 1. 4-(-13)=17
B.
1. Complete the addition sentence -4+-18=?. -4+(-8)= -22 2. Write a subtraction sentence that " undoes " the addition sentence you found in part 1. 22-4=18
C. Write a subtraction sentence that solves each problem.
1.?+-18=6 (?=24)
24-6=18 2. ?+-13=-41(?= -28)
-28-(-41)=13 3. ?+6.1=-3.2(?=-9.3)
3.2-9.3=-6.1 4. ?+(-1/3)=1/3(?=2/3)
1/3-(-1/3) = 2/3 D. Write an addition sentence that solves each problem. 1. ?-(-6)=-6(?= 0)
0+(-6)=-6 2. ?-(-2)=3(?=1)
-1+3=2 3. ?-5.3=-7.1(?=-1.8)
7.1+(-5.3)=1.8 4. ?- (-1/4)= -3/4(?=-1)
-1- (-3/4)=-1/4
Follow up
1. Can you write a different subtraction sentence to go with 3+11=14? 14-11=3
2.
a. Complete the addition sentence 3.8+-2.6=? 3.8+-2.6=1.2
b. Write a subtraction sentence that is related to the addition sentence you found in part a. 3.8-1.2=2.6
3.
a. Complete the subtraction sentence -11-6=?. -11-6=-17
b. Write a addition sentence that is related to the subtraction sentence you found in part a. -17+6=-11
4. When you add positive and a negative integers, sometimes you get a positive sum and sometimes you get a negative sum. Is the same true when you subtract positive and negative integers? Explain.
Yes, because it depends on the numbers that you subtract and if they are positive or negative.
Ex: 24-(-2)= 26
-2-24=-26
LW
Big Idea
Negative numbers help us to model many real world situations.
Investigation 3: Subtracting Integers Essential Question #3: How do I find the difference between integers?
A.
1. Complete the addition sentence -17+13=?.
-17+13=-4
2. Write a subtraction sentence that "undoes" the addition sentence you found in part 1.
4-(-13)=17
B.
1. Complete the addition sentence -4+-18=?.
-4+(-8)= -22
2. Write a subtraction sentence that " undoes " the addition sentence you found in part 1.
22-4=18
C. Write a subtraction sentence that solves each problem.
1. ?+-18= 6 (?=24)
24-6=18
2. ?+-13=-41 (?= -28)
-28-(-41)=13
3. ?+6.1=-3.2 (?=-9.3)
3.2-9.3=-6.1
4. ?+(-1/3)= 1/3 (?=2/3)
1/3-(-1/3) = 2/3
D. Write an addition sentence that solves each problem.
1. ?-(-6)=-6 (?= 0)
0+(-6)=-6
2. ?-(-2)=3 (?=1)
-1+3=2
3. ?-5.3=-7.1 (?=-1.8)
7.1+(-5.3)=1.8
4. ?- (-1/4)= -3/4 (?=-1)
-1- (-3/4)=-1/4
Follow up
1. Can you write a different subtraction sentence to go with 3+11=14?
14-11=3
2.
a. Complete the addition sentence 3.8+-2.6=?
3.8+-2.6=1.2
b. Write a subtraction sentence that is related to the addition sentence you found in part a.
3.8-1.2=2.6
3.
a. Complete the subtraction sentence -11-6=?.
-11-6=-17
b. Write a addition sentence that is related to the subtraction sentence you found in part a.
-17+6=-11
4. When you add positive and a negative integers, sometimes you get a positive sum and sometimes you get a negative sum. Is the same true when you subtract positive and negative integers? Explain.
Yes, because it depends on the numbers that you subtract and if they are positive or negative.
Ex: 24-(-2)= 26
-2-24=-26